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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Elementary proof of the Rudin-Carleson and the F. and M. Riesz theorems


Author: Raouf Doss
Journal: Proc. Amer. Math. Soc. 82 (1981), 599-602
MSC: Primary 42A99
MathSciNet review: 614885
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Abstract: A very elementary proof is given of the theorem that on a set of measure zero on $ T$, any continuous function is equal to a continuous function of analytic type. The same elementary method proves that a measure of analytic type is absolutely continuous.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0614885-5
PII: S 0002-9939(1981)0614885-5
Article copyright: © Copyright 1981 American Mathematical Society